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Finding the Third Proportional to 211,926 and 320,049

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Solution

The third proportional to 211,926 and 320,049 is: 483,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,926 : 320,049 = 320,049 : x
  2. Step 2: Convert to fraction form
    211,926/320,049 = 320,049/x
  3. Step 3: Cross multiply
    211,926x = 320,049 × 320,049
  4. Step 4: Simplify right side
    211,926x = 102,431,362,401
  5. Step 5: Solve for x
    x = 102,431,362,401/211,926
  6. Step 6: Final answer
    x = 483,335.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.